The answer is equilateral
Answer:
The measure of angle 2 is 52°.
Step-by-step explanation:
Consider the below figure attached with this question.
It is given that
![m\angle 5=(11x-14)^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%205%3D%2811x-14%29%5E%7B%5Ccirc%7D)
and x=6.
From the below figure it is clear that Lines 1,2 and 3 intersect each other at a point and form 6 angles.
It is clear that angle 2 and angle 5 are vertical opposite angles because these angles created by intersection of line 2 and line 3.
If two lines intersect each other then vertical opposite angles are congruent.
(vertical opposite angles)
![m\angle 2=(11x-14)^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%202%3D%2811x-14%29%5E%7B%5Ccirc%7D)
Substitute x=6.
![m\angle 2=(11(6)-14)^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%202%3D%2811%286%29-14%29%5E%7B%5Ccirc%7D)
![m\angle 2=(66-14)^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%202%3D%2866-14%29%5E%7B%5Ccirc%7D)
![m\angle 2=52^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%202%3D52%5E%7B%5Ccirc%7D)
Therefore, the measure of angle 2 is 52°.